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arXiv · 0911.1805

Morse homology on noncompact manifolds

Kai Cieliebak·Urs Frauenfelder
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Abstract

Given a Morse function on a manifold whose moduli spaces of gradient flow lines for each action window are compact up to breaking one gets a bidirect system of chain complexes. There are different possibilities to take limits of such a bidirect system. We discuss in this note the relation between these different limits.

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Kai Cieliebak, Urs Frauenfelder. 2009-11-09. Morse homology on noncompact manifolds. https://arxiv.org/abs/0911.1805

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